Torification and Factorization of Birational Maps

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  • 23 April 1999
Abstract
Building on the work of the fourth author in math.AG/9904074, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K of characteristic zero is a composite of blowings up and blowings down with smooth centers. Another proof of the same theorem appeared independently by the fourth author in math.AG/9904076.

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